Math 108B Syllabus

Math 108B Syllabus - Lecture/Homework Timetable(subject to...

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Math 108B – Intro to Linear Algebra – Winter 2010 Professor: Kenneth C. Millett Office: 6512 South Hall Office Hours: R 8:30 – 11:00 Email: [email protected] Graduate Assistant: Tomas Kabbabe Office: 6432K South Hall Office Hour: W 10:00 – 11:00 Email: [email protected] Prerequisites: Math 108A (with grade of C or better) Text: Shedon Axler, Linear Algebra Done Right. Second Edition, Springer 1997 Lecture: TR 12:30 – 1:45 Arts 1251 Problem Sessions: Tuesday 6:00 – 7:30 in Math Lab, SH 1607. Starting January 19, 2010. You may enroll in Math 194GS attend and participate in the Tuesday evening problem sessions with Ken. Your grade will be at least as high as the Math 108B grade Homework Hours: Wednesday 5:00 – 7:00 in Math Lab, SH 1607. Starting January 6, 2010. This is a good time to work with fellow students on the homework while having access to advice from Tomas. Homework: Homework will be collected in lecture as indicated below. Grading: Homework & Problem Sessions (20%), Midterms (30%), Final Exam (50%)
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Unformatted text preview: Lecture/Homework Timetable (subject to change) Date Topics Read Homework Due 1/5 Inner Product Spaces 97-102 1/7 Norms 102-106 1/12 Orthonormal Bases 106-111 1/14 Orthogonal Projections, Minimization Problems 111-116 1/19 Linear Functionals and Adjoints 117-121 1/21 Operators and Inner-Product Spaces 127-132 HW1 1/26 The Spectral Theorem 132-137 1/28 Normal Operators 138-144 2/2 Positive Operators 144-147 HW2 2/4 Isometries 147-152 2/9 Polar & Singular-Value Decompositions 152-157 2/11 Complex Operators 163-168 HW3 2/16 Characteristic Polynomial 168-173 2/18 Midterm (Chapters 6 & 7) 2/23 Decomposition of an Operator 173-178 2.25 Minimal Polynomial, Jordon Form 179-187 HW 4 3/2 Real Operatiors 193-197 3/4 Characteristic Polynomial, Cayley-Hamilton Theorem 198-209 3/9 Trace & Determinant 213-222 HW5 3/11 Trace & Determinant 222-243 3/16 Final Exam 12:00-3:00...
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